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Finding the Fourth Proportional to 461,664.96, 637,095 and 257,704.08

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Solution

The fourth proportional to 461,664.96, 637,095 and 257,704.08 is: 355,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,664.96 : 637,095 = 257,704.08 : x
  2. Step 2: Convert to fraction form
    461,664.96/637,095 = 257,704.08/x
  3. Step 3: Cross multiply
    461,664.96x = 637,095 × 257,704.08
  4. Step 4: Simplify right side
    461,664.96x = 164,181,980,847.60
  5. Step 5: Solve for x
    x = 164,181,980,847.60/461,664.96
  6. Step 6: Final answer
    x = 355,630.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.